We study two-dimensional discrete integrable equations of order 1 with respect to one independent variable and m with respect to another one. A generalization of the multidimensional consistency property is proposed for this type of equations. The examples are related to the Bäcklund-Darboux transformations for the lattice equations of Bogoyavlensky type. © 2014 IOP Publishing Ltd
Multidimensional Consistency becomes more and more important in the theory of discrete integrable sy...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
We study two-dimensional discrete integrable equations of order 1 with respect to one independent va...
We study 2D discrete integrable equations of order 1 with respect to one independent variable and m ...
We consider overdetermined systems of difference equations for a single function u which are consist...
We develop a new approach to the classification of integrable equations of the form uxy = f(u, ux, u...
We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which ...
Multidimensional consistency has emerged as a key integrability property for partial difference equa...
The reduction by restricting the spectral parameters k and $k^{\prime}$ on a generic algebraic curve...
Integrability conditions for difference equations admitting a second order formal recursion operator...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
We consider various 2D lattice equations and their integrability, from the point of view of 3D consi...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
We study two families of matrix versions of generalized Volterra (or Bogoyavlensky) lattice equation...
Multidimensional Consistency becomes more and more important in the theory of discrete integrable sy...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
We study two-dimensional discrete integrable equations of order 1 with respect to one independent va...
We study 2D discrete integrable equations of order 1 with respect to one independent variable and m ...
We consider overdetermined systems of difference equations for a single function u which are consist...
We develop a new approach to the classification of integrable equations of the form uxy = f(u, ux, u...
We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which ...
Multidimensional consistency has emerged as a key integrability property for partial difference equa...
The reduction by restricting the spectral parameters k and $k^{\prime}$ on a generic algebraic curve...
Integrability conditions for difference equations admitting a second order formal recursion operator...
We conjecture an integrability and linearizability test for dispersive Z(2)-lattice equations by usi...
We consider various 2D lattice equations and their integrability, from the point of view of 3D consi...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
We study two families of matrix versions of generalized Volterra (or Bogoyavlensky) lattice equation...
Multidimensional Consistency becomes more and more important in the theory of discrete integrable sy...
Conditions necessary for the existence of local higher order generalized symmetries and conservation...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
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